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frez [133]
3 years ago
9

Find x and decide if that side (with the x) is an Altitude

Mathematics
1 answer:
irga5000 [103]3 years ago
3 0

Answer:

  1. b = 15
  2. c = 51
  3. c = 100
  4. b = 25.75

Step-by-step explanation:

Using the Pythagoras theorem equation:

c^{2}=a^{2}+b^{2}

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.

1) Here c = 17, a = 8 and b = ?

Then, using the above equation we can find the side b.

17^{2}=8^{2}+b^{2}

b=\sqrt{225}

b=15

2) Here a = 24, b = 45 and c = ?  

c=\sqrt{24^{2}+45^{2}}

c=51

3)  Here a = 28, b = 96 and c = ?

c=\sqrt{28^{2}+96^{2}}    

c=100

4)  Here a = 17, b = ? and c = 28

b=\sqrt{28^{2}-11^{2}}  

b=25.75

Just in the 4 case x is an altitude.

I hope it helps you!

         

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Write an equation in standard form for a line that passes through (2,2) and (0,-3).
asambeis [7]
So,

The standard form is:
y = mx + b

First, we find "m," the slope.  Subtract the y-coordinates from each other.  Do likewise with the x-coordinates.

2 - -3 = 5
2 - 0 = 2

Slope = 5/2

y= \frac{5}{2} x+b

Now, we can substitute the second solution into this equation for x and y and solve for "b."

-3= \frac{5}{2} *0+b

-3= b

Now we have our complete equation.

y= \frac{5}{2} x-3
8 0
3 years ago
Use the cumulative normal distribution table to find the z-scores thqt bound the middle of 68% of theje area under the stanrard
padilas [110]

Answer:

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Middle 68%

Between the 50 - (68/2) = 16th percentile and the 50 + (68/2) = 84th percentile.

16th percentile:

X when Z has a pvalue of 0.16. So X when Z = -0.995

84th percentile:

X when Z has a pvalue of 0.84. So X when Z = 0.995.

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

7 0
3 years ago
Triangles P and Q are similar.
svp [43]

Answer:

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Step-by-step explanation:

join my stream and tell me how to label the triangle

(ChildOfHermes)

6 0
2 years ago
I need help please.
Rainbow [258]
The answer should be C
54*30/100= 16.2
54-16.2 = 37.80
4 0
3 years ago
Read 2 more answers
Slove for x: x+1/3=1/4
lana [24]
Hey!


To solve this problem, we must subtract one over three from both sides of the equation. This will give us x on its own.

<em>Original Equation :</em>
x + \frac{1}{3} = \frac{1}{4}

<em>New Equation {Added Subtract \frac{1}{3} to Both Sides} :</em>
x + \frac{1}{3} - \frac{1}{3} = \frac{1}{4} - \frac{1}{3}

<em>Solution {New Equation Solved} :</em>
x=- \frac{1}{12}

<em>So, this means that in the equation provided</em>,  x=- \frac{1}{12}.

Hope this helps!


- Lindsey Frazier ♥
6 0
3 years ago
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